242125 has 16 divisors (see below), whose sum is σ = 327600. Its totient is φ = 177600.

The previous prime is 242119. The next prime is 242129. The reversal of 242125 is 521242.

It can be written as a sum of positive squares in 8 ways, for example, as 175561 + 66564 = 419^2 + 258^2 .

It is not a de Polignac number, because 242125 - 2⁵ = 242093 is a prime.

242125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 242099 and 242108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551 + ... + 1699.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2²⁴²¹²⁵ is an apocalyptic number.

242125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242125 is a deficient number, since it is larger than the sum of its proper divisors (85475).

242125 is a wasteful number, since it uses less digits than its factorization.

242125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 242125 is about 492.0619879649. The cubic root of 242125 is about 62.3275244729.

Adding to 242125 its reverse (521242), we get a palindrome (763367).

The spelling of 242125 in words is "two hundred forty-two thousand, one hundred twenty-five".